The backstage scene at Broadway’s “Breakfast at Tiffany’s” is turning into a feline “All About Eve.” After clawing his way to rave reviews, Vito Vincent, the cat star of the Truman Capote-inspired play, has been abruptly let go, Page Six has learned. Upstart tabby understudy Chessie has taken Vito’s coveted role. Sources tell us Vito’s diva demands were in part to blame. (We previously reported the famous fur ball wanted a car and driver after performances, and we further hear he wanted to do fewer than eight shows per week.) Another understudy, Montie, was shed last month for being “unruly.” A rep for the show said only: “Vito has gone on to pursue other projects . . . we are now in the capable paws of . . . Chessie.”